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Let bo, b,, b2, ... be the sequence defined by the explicit formula b, = C. 6" + D(-5)^ for each integer n 2 0, where C and D are real numbers. (a) Find C and D so that b, = 0 and b, = 11. C = 1 D = |-1 What is b, in this case? b2 = (b) Find C and D so that b, = 4 and b, = -9. C = D = What is b, in this case? 6.

Let bo, b,, b2, ... be the sequence defined by the explicit formula b, = C. 6" + D(-5)^ for each integer n 2 0, where C and D are real numbers. (a) Find C and D so that b, = 0 and b, = 11. C = 1 D = |-1 What is b, in this case? b2 = (b) Find C and D so that b, = 4 and b, = -9. C = D = What is b, in this case? 6.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let bo, b,, b2, ... be the sequence defined by the explicit formula b, = C. 6" + D(-5)" for each integer n 2 0, where C and D are real numbers. (a) Find C and D so that b, = 0 and b, = 11. C = 1 D = -1 What is b, in this case? b2 (b) Find Cand D so that b. = 4 and b, = -9. C = D = What is b, in this case?
Transcribed Image Text:Let bo, b,, b2, ... be the sequence defined by the explicit formula b, = C. 6" + D(-5)" for each integer n 2 0, where C and D are real numbers. (a) Find C and D so that b, = 0 and b, = 11. C = 1 D = -1 What is b, in this case? b2 (b) Find Cand D so that b. = 4 and b, = -9. C = D = What is b, in this case?
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Substitute 0 and 1 in the given expression to obtain the values of C and D,

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